Localized model reduction for nonlinear elliptic partial differential equations: localized training, partition of unity, and adaptive enrichment
We propose a component-based (CB) parametric model order reduction (pMOR) formulation
for parameterized nonlinear elliptic partial differential equations. CB-pMOR is designed to …
for parameterized nonlinear elliptic partial differential equations. CB-pMOR is designed to …
A relaxed localized trust-region reduced basis approach for optimization of multiscale problems
T Keil, M Ohlberger - ESAIM: Mathematical Modelling and …, 2024 - esaim-m2an.org
In this contribution, we are concerned with parameter optimization problems that are
constrained by multiscale PDE state equations. As an efficient numerical solution approach …
constrained by multiscale PDE state equations. As an efficient numerical solution approach …
Some contributions to model reduction of parametric systems in nonlinear mechanics
T Taddei - 2024 - inria.hal.science
In this habilitation dissertation, I review select contributions to model order reduction (MOR)
of parametric systems that I have carried out since the completion of my PhD. Many …
of parametric systems that I have carried out since the completion of my PhD. Many …
Towards automatic and reliable localized model order reduction
A Buhr - arXiv preprint arXiv:1908.02074, 2019 - arxiv.org
Finite element based simulation of phenomena governed by partial differential equations is
a standard tool in many engineering workflows today. However, the simulation of complex …
a standard tool in many engineering workflows today. However, the simulation of complex …
[PDF][PDF] Localized model reduction for nonlinear elliptic partial differential equations: localized training, partition of unity, and adaptive enrichment.
KST Taddei - academia.edu
We propose a component-based (CB) parametric model order reduction (pMOR) formulation
for parameterized nonlinear elliptic partial differential equations (PDEs). CB-pMOR is …
for parameterized nonlinear elliptic partial differential equations (PDEs). CB-pMOR is …